Mathématiques

Question

quels sont les résultats

quels sont les résultats

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2 Réponse

  • √63
    = √(9 x 7)
    = √9 x √7
    = 3 x √7
    = 3√7

    √175
    = √(25 x 7)
    = √25 x √7
    = 5 x √7
    = 5√7

    9√7 - 2√28
    = 9√7 - 2√(7 x 4)
    = 9√7 - 2 x 2√7
    = 9√7 - 4√7
    = 5√7

    √24 + √54
    = √(4 x 6) + √(9 x 6)
    = 2√6 + 3√6
    = 5√6

    3√50 - √98 - √18
    = 3√(25 x 2) - √(49 x 2) - √(9 x 2)
    = 3 x 5√2 - 7√2 - 3√2
    = 15√2 - 10√2 
    = 5√2

    3√20 + 4√45 - √125
    = 3√(4 x 5) + 4√(9 x 5) - √(25 x 5)
    = 3 x 2√5 + 4 x 3√5 - 5√5
    = 6√5 + 12√5 - 5√5
    = 13√5


  • Exercice 1 :

    A =√63
    A = √(9 x 7)
    A = √(3² x 7)
    A = 3√7


    B =√175
    B = √(25 x 7)
    B = √(5² x √7)
    B = 5√7


    C = 9√7 - 2√28
    C = 9√7 - 2√(4 x 7)
    C = 9√7 - 2√(2² x 7)
    C = 9√7 - 4√7
    C = (9 - 4)√7
    C = 5√7


    D =√24 + √54
    D = √(4 x 6) + √(9 x 6)
    D = √(2² x 6) + √(3² x 6)
    D = 2√6 + 3√6
    D = (2 + 3)√6
    D = 5√6


    E = 3√50 - √98 - √18
    E = 3√(25 x 2) - √(49 x 2) - √(9 x 2)
    E = 3√(5² x 2) - √(7² x 2) - √(3² x 2)
    E = 15√2 - 7√2 - 3√2
    E = 15√2 - 10√2
    E = (15 - 10)√2
    E = 5√2


    F = 3√20 + 4√45 - √125
    F = 3√(4 x 5) + 4√(9 x 5) - √(25 x 5)
    F = 3√(2² x 5) + 4√(3² x 5) - √(5² x 5)
    F = 6√5 + 12√5 - 5√5
    F = 18√5 - 5√5
    F = (18 - 5)√5
    F = 13√5

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